My fix works since more than a month now without any problems.
Here are two photos where you can see how my fix is connected and how it fits under the case. Feel free to use that pictures into the instructions (I don't know how to do that):
Instead of repairing the defective 5V control circuit, I simply piggybacked a small switching regulator on top with thick double-sided tape. By removing the coil, the output of the defective original regulator is separated from the rest of the circuit and you have a nice contact on the board to feed in the 5V. This is not only much easier than replacing the chip (which I also have done successfully some years ago) but these small DC-DC buck converters with MP1584EN chip are simpler to source than the original MXT2410SX chip and also cheap.